1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Gekata [30.6K]
3 years ago
15

What is the equation of a line that passes through the point (9, -3) and is parallel to the line whose equation is 2x-3y=6

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

Step-by-step explanation:

2x-3y=6

-3y = -2x + 6

y = -2x/-3 + 6/ -3

y = 2x/3 - 2             {y =mx + c}

slope = 2/3

The required line's slope is also 2/3 as it is parallel to this line

Point(9, -3)

y -y1 = m(x-x1)

y - (-3) = 2/3 (x - 9)

y + 3 = 2x/3 - 2*9/3

y + 3 =2x/3 - 2*3

y  + 3 = 2x/3 -6

y = 2x/3 - 6 - 3

y = 2x/3 - 9

You might be interested in
Could yall help me PLEASE
klasskru [66]

Answer: 3.6

Step-by-step explanation:

(Not the best at math but I am an above level student)

C= pi x diameter

C= pi x 1.205

C= 3.7

3 0
2 years ago
A person recently read that 84% of cat owners are women. How large a sample should the researcher take if she wishes to be 90% c
Lana71 [14]

Answer:

405

Step-by-step explanation:

To find sample size, use the following equation, where n = sample size, za/2 = the critical value, p = probability of success, q = probability of failure, and E = margin of error.

n=\frac{(z_{\frac{\alpha }{2} })^{2} *p*q  }{E^2}

The values that are given are p = 0.84 and E = 0.03.

You can solve for the critical value which is equal to the z-score of  (1 - confidence level)/2.  Use the calculator function of invNorm to find the z-score.  The value will given with a negative sign, but you can ignore that.

(1 - 0.9) = 0.1/2 = 0.05

invNorm(0.05, 0, 1) = 1.645

You can also solve for q which is 1 - p.  For this problem q = 1 - 0.84 = 0.16

Plug the values into the equation and solve for n.

n =\frac{(1.645)^2*0.84*0.16}{(0.03)^2}\\n= 404.0997333

Round up to the next number, giving you 405.

6 0
3 years ago
Simplify:<br><br> 5(6h – 1) – 5h<br> A. h – 1<br> B. h – 5<br> C. 25h – 5<br> D. 35h – 5
pickupchik [31]

Answer:

C. 25h – 5

Step-by-step explanation:

5(6h - 1) - 5h = 30h - 5 - 5h = 25h - 5

4 0
3 years ago
Read 2 more answers
Can I get help finshing all these qustions 1. -4(6) 2. -21-8) 3. 121-4) 4. -6(5) 5. -10(-9) 6. -(5) 7. (-5) 8. -30(5) 9. 20(-6)
Papessa [141]

Answer:

1. -4(6)= -24

2.-21-8= -29

3. 121-4 =117

4. -6(5) =-30

5. -10(-9)= 90

6. (-5)7= -35

7. (-5)8= -40

8. -30(5)= -150

9. 20(-6)= -120

10. -14(6)= -84

11. (-13)2 = -26

12. –7(15) = -105

13. -3(4) = -12

14. 7(-3) = -21

15. 3(-3) = -9

16. -2(-10) = 20

17. (-5)(-3)(4) = 60

18. -3(-3)(4)= 36

19. -3(-5) = 15

20. 5(-3) = -15

21. 7(-5)(4) = -140

22. -2(-5)(-3)= -30

23. – 10(-3)=30

24. -21-3= -24

Explanation:

We have followed the rules in adding and subtracting negative as well as positive values on the number line.

When adding two negative values, the result is a negative value.

When adding a negative and positive value, the result is either a positive or negative value depending on if the negative value is bigger or smaller than the positive value

When multiplying two negative values, the result is a positive value

When multiplying one negative and one positive value, the result is a negative value

To make you understand addition and subtraction of negative and positive numbers better, let us use a simple analogy. Assuming you are owing five oranges(-5) and you are only able to give two oranges(+2), you will still be owing 3 oranges(-3). Assuming also that you are owing 6 oranges(-6) and you are able to give 8 oranges(+8), you would have given excess oranges and would be owed two oranges(+2). Hence the results above.

8 0
3 years ago
Please help me with math
ella [17]

Answer:

6. composite figure

7. 60+432=492

5 0
3 years ago
Other questions:
  • Which expression is the same as 1/8 of 3?
    14·2 answers
  • what if erika and Bradley want to hike 14 miles each day? how many days will they hike exactly 14 days?
    12·2 answers
  • In Triangle A B C, what is the value of x? Triangle A B C. Angle A is (10 x minus 10) degrees, angle B is (8 x) degrees, angle C
    14·1 answer
  • Rewrite subtraction as an equivalent addition expression.<br><br> 5(x – 4) + 3x – 9x + 7
    9·1 answer
  • Write in standard form 9 times 100
    6·2 answers
  • A dress which costs $180 is being sold at a discount of 10%. The amount of the discount is
    8·1 answer
  • Charles is walking arounda fountain that has a circumference of 124ft .what is the diameter of the fountain?
    12·2 answers
  • there are 6 married couples at a party. at the start of the party every person shakes hands once with every other pserson except
    8·1 answer
  • Taree fourts of the 64 books were math books. determine the percent of the books that were math books.​
    11·1 answer
  • Laura completed the following steps to find a product.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!